Journal ArticleDOI
Power Lindley distribution and associated inference
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A new two-parameter power Lindley distribution is introduced and its properties are discussed, which include the shapes of the density and hazard rate functions, the moments, skewness and kurtosis measures, the quantile function, and the limiting distributions of order statistics.About:
This article is published in Computational Statistics & Data Analysis.The article was published on 2013-08-01. It has received 269 citations till now. The article focuses on the topics: Likelihood function & Normal distribution.read more
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On Properties and Applications of Lomax-Gompertz Distribution
Abstract: This article introduces a new distribution called the Lomax-Gompertz distribution developed through a Lomax Generator proposed in an earlier study. Some statistical properties of the proposed distribution comprising moments, moment generating function, characteristics function, quantile function and the distribution of order statistics were derived. The plots of the probability density function revealed that it is positively skewed. The model parameters have been estimated using the method of maximum likelihood. The plot the of survival function indicates that the Lomax-Gompertz distribution could be used to model time or age-dependent data, where probability of survival is believed to be decreasing with time or age. The performance of the Lomax-Gompertz distribution has been compared to other generalizations of the Gompertz distribution using three real-life datasets used in earlier researches.
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Maximum likelihood estimation based on ranked set sampling designs for two extensions of the Lindley distribution with uncensored and right-censored data
TL;DR: This paper examines the performance of the maximum likelihood estimators from RSS-based designs with the corresponding SRS estimators when the data are assumed to follow a Power Lindley or a Weighted Lindley distribution.
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Statistical Inference for Lindley Model based on Type II Censored Data
TL;DR: The expectation maximization (EM) algorithm and direct maximization methods are used to obtained the maximum likelihood estimator (MLE) and a bias corrected estimator based on parametric bootstrap is developed.
Journal Article
Odd Burr Power Lindley Distribution with Properties and Applications
TL;DR: The odd Burr power Lindley (OBPL) distribution as discussed by the authors extends the Lindley distribution and has increasing, upside-down and bathtub shapes for the hazard rate function, which may be useful to still more complex situations.
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The extended gamma distribution with regression model and applications
TL;DR: In this article, a new extension of the gamma distribution, named as a new extended gamma distribution via mixture representation of xgamma and gamma distributions, was introduced, and statistical properties of the proposed distribution are derived such as moment generating and characteristic functions, variance, skewness, and kurtosis measures, Lorenz curve, and mean residual life function.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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Tables of Integrals, Series, and Products
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Theory of point estimation
TL;DR: In this paper, the authors present an approach for estimating the average risk of a risk-optimal risk maximization algorithm for a set of risk-maximization objectives, including maximalaxity and admissibility.
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A first course in order statistics
TL;DR: In this paper, the authors use order statistics in Statistical Inference Asymptotic Theory Record Values Bibliography Indexes to measure moment relations, bounds, and approximations.